Fraction word problems worksheet for students, featuring school-related math questions.

Let's solve each of the fraction word problems step by step, using the information provided:

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Given:

- Total students = 864
- Total staff members = 80
- $ \frac{5}{8} $ of the students are boys.

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Problem 1: How many girls are there in the school?

We know:
- $ \frac{5}{8} $ of students are boys → So, $ 1 - \frac{5}{8} = \frac{3}{8} $ are girls.

Now calculate number of girls:
$$
\frac{3}{8} \times 864 = \frac{3 \times 864}{8} = \frac{2592}{8} = 324
$$

✔ Answer: 324 girls

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Problem 2: $ \frac{1}{6} $ of the boys joined the basketball team and $ \frac{2}{9} $ of the boys joined the soccer team. How many boys are there in the soccer team?

First, find number of boys:
$$
\frac{5}{8} \times 864 = \frac{5 \times 864}{8} = \frac{4320}{8} = 540 \text{ boys}
$$

Now, $ \frac{2}{9} $ of boys joined the soccer team:
$$
\frac{2}{9} \times 540 = \frac{2 \times 540}{9} = \frac{1080}{9} = 120
$$

✔ Answer: 120 boys in the soccer team

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Problem 3: The school bus service is only offered to grade 1 and 2 students. $ \frac{5}{24} $ of the total number of students are in grades 1 and 2. $ \frac{4}{7} $ of the grades 1 and 2 take the school bus to school. What fraction of all students take the school bus to school?

Let’s find the fraction of all students who take the bus.

Step 1: Fraction of students in grades 1 and 2 = $ \frac{5}{24} $

Step 2: Of those, $ \frac{4}{7} $ take the bus.

So, the fraction of all students who take the bus is:
$$
\frac{5}{24} \times \frac{4}{7} = \frac{20}{168} = \frac{5}{42}
$$

(Simplify $ \frac{20}{168} $: divide numerator and denominator by 4 → $ \frac{5}{42} $)

✔ Answer: $ \frac{5}{42} $ of all students take the school bus

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Problem 4: On a snowy day, only $ \frac{7}{12} $ of the students attend school. Among the students that missed school, about $ \frac{4}{5} $ call the school to inform the office. What was the fraction of all students that called in to inform the school about missing school this day?

Total students = 864 (but we can work with fractions).

Fraction attending = $ \frac{7}{12} $ → So fraction missing = $ 1 - \frac{7}{12} = \frac{5}{12} $

Of those missing, $ \frac{4}{5} $ called in.

So, fraction of all students who called in:
$$
\frac{5}{12} \times \frac{4}{5} = \frac{20}{60} = \frac{1}{3}
$$

✔ Answer: $ \frac{1}{3} $ of all students called in

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Problem 5: Every Wednesday, a meeting for all the teaching staff is held. If $ \frac{13}{16} $ of the staff members are teaching staff, how many staff members are invited to the meeting?

Total staff = 80
Teaching staff = $ \frac{13}{16} \times 80 $

$$
\frac{13}{16} \times 80 = \frac{13 \times 80}{16} = \frac{1040}{16} = 65
$$

✔ Answer: 65 staff members are invited

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Problem 6: On the last Wednesday of May, $ \frac{1}{5} $ of the teaching staff was not in school for a field trip. How many staff members were at that meeting?

From Problem 5, teaching staff = 65

$ \frac{1}{5} $ were absent → So $ \frac{4}{5} $ attended.

$$
\frac{4}{5} \times 65 = \frac{4 \times 65}{5} = \frac{260}{5} = 52
$$

✔ Answer: 52 staff members were at the meeting

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✔ Final Answers Summary:

1. 324 girls
2. 120 boys in the soccer team
3. $ \frac{5}{42} $ of all students take the school bus
4. $ \frac{1}{3} $ of all students called in
5. 65 staff members invited to the meeting
6. 52 staff members attended the meeting

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